Explicit error bounds in a conforming finite element method

被引：95
作者：
Destuynder, P [1 ]
Métivet, B [1 ]
机构：
[1] CNAM, IAT, F-78210 St Cyr Lecole, France
来源：
MATHEMATICS OF COMPUTATION | 1999年 / 68卷 / 228期
关键词：
D O I：
10.1090/S0025-5718-99-01093-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of this paper is to define a procedure for bounding the error in a conforming finite element method. The new point is that this upper bound is fully explicit and can be computed locally. Numerical tests prove the efficiency of the method. It is presented here for the case of the Poisson equation and a first order finite element approximation.
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页码：1379 / 1396
页数：18
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